Quantum Isometries and Noncommutative Spheres |
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| Authors: | Teodor Banica Debashish Goswami |
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| Institution: | 1. Department of Mathematics, Cergy-Pontoise University, 95000, Cergy-Pontoise, France
2. Theoretical Statistics and Mathematics Unit, 203 Barrackpore Trunk Road, Kolkata, 700 108, India
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| Abstract: | We introduce and study two new examples of noncommutative spheres: the half-liberated sphere, and the free sphere. Together
with the usual sphere, these two spheres have the property that the corresponding quantum isometry group is “easy”, in the
representation theory sense. We present as well some general comments on the axiomatization problem, and on the “untwisted”
and “non-easy” case. |
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